Daily Practice · Higher
March 1971 5-a-day
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The batch download puts all 5 tiers' March 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1971A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 2nd March 1971A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 3rd March 19716 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th March 1971A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 5th March 1971Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 6th March 1971Expand and simplify (x - 4)(x + 1)(x - 5).
- 7th March 1971y is inversely proportional to x. When x = 4, y = 36. Work out y when x = 12.
- 8th March 1971A cone has base radius 7 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 9th March 197118 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th March 1971Four classes in order have frequencies 10, 8, 12, 12. Write down the cumulative frequency at the end of the third class.
- 11th March 1971A meal deal has 5 mains, 3 sides and 5 drinks. How many different meals are possible?
- 12th March 1971Make x the subject of y = 7x^2 - 2.
- 13th March 1971y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 6.
- 14th March 1971In triangle ABC, angle A is 51°, angle B is 91° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th March 19715 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th March 197145 voles are marked and released. Later 25 are caught, of which 5 are marked. Estimate the population.
- 17th March 1971A mass is 63 kg, correct to the nearest whole number. Write down the upper bound.
- 18th March 1971Factorise x^2 - 121.
- 19th March 1971y is directly proportional to x. When x = 6, y = 12. Work out y when x = 7.
- 20th March 1971A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 21st March 197116 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd March 1971A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd March 1971Write 9^-1 as a fraction.
- 24th March 1971A region is defined by y < -4x + 8. Should the boundary line be solid or dashed, and why?
- 25th March 1971A town's population is 3000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 26th March 1971The point (-2, 5) is enlarged by scale factor -2 about the centre (3, 3). Write down the coordinates of the image.
- 27th March 19713 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th March 1971A box plot has a minimum of 6 and a maximum of 64. Work out the range.
- 29th March 1971Work out (4 x 10^3) x (7 x 10^6). Give your answer in standard form.
- 30th March 1971Factorise x^2 - 25.
- 31st March 1971A block has volume 190 cm^3 and density 7.5 g/cm^3. Work out its mass.